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Contributions to Nonlinear Analysis
This paper is concerned with the existence and uniform decay rates of solutions of the waveequation with a sourceterm and subject to nonlinear boundary damping ? ? u ?? u =|u| u in ? ×(0,+?) ? tt ? ? ? ? u=0 on ? ×(0,+?) 0 (1. 1) ? ? u+g(u)=0 on ? ×(0,+?) ? t 1 ? ? ? ? 0 1 u(x,0) = u (x); u (x,0) = u (x),x? ? , t n where ? is a bounded domain of R ,n? 1, with a smooth boundary ? = ? ?? . 0 1 Here, ? and ? are closed and disjoint and ? represents the unit outward normal 0 1 to ?. Problems like (1. 1), more precisely, ? u ?? u =?f (u)in? ×(0,+?) ? tt 0 ? ? ? ? u=0 on ? ×(0,+?) 0 (1. 2) ? ? u =?g(u )?f (u)on? ×(0,+?) ? t 1 1 ? ? ? ? 0 1 u(x,0) = u (x); u (x,0) = u (x),x? ? , t were widely studied in the literature, mainly when f =0,see[6,13,22]anda 1 long list of references therein. When f =0and f = 0 this kind of problem was 0 1 well studied by Lasiecka and Tataru [15] for a very general model of nonlinear functions f (s),i=0,1, but assuming that f (s)s? 0, that is, f represents, for i i i each i, an attractive force.
The European Court of Justice on the European Convention on Human Rights
The place of the European Convention on Human Rights within the legal order of the European Union has been the subject of much controversy over the past twenty years. It is now almost 25 years since the European Court of Justice in Luxembourg first referred specifically to the Human Rights Convention in one of its judgments. Since then it has considered and commented on almost all of the substantive articles of the Human Rights Convention in the context of European Community law. For the first time, these references to the European Convention on Human Rights by the European Court of Justice, the Court of First Instance and the Advocates General of the two Courts have been brought together an...
Nonlinear Equations: Methods, Models and Applications
A collection of research articles originating from the Workshop on Nonlinear Analysis and Applications held in Bergamo in July 2001. Classical topics of nonlinear analysis were considered, such as calculus of variations, variational inequalities, critical point theory and their use in various aspects of the study of elliptic differential equations and systems, equations of Hamilton-Jacobi, Schrödinger and Navier-Stokes, and free boundary problems. Moreover, various models were focused upon: travelling waves in supported beams and plates, vortex condensation in electroweak theory, information theory, non-geometrical optics, and Dirac-Fock models for heavy atoms.
Minimax Theorems
Many boundary value problems are equivalent to Au=O (1) where A : X --+ Y is a mapping between two Banach spaces. When the problem is variational, there exists a differentiable functional rand inf.
Equadiff 95 - Proceedings Of The International Conference On Differential Equations
In this volume, leading experts on differential equations address recent advances in the fields of ordinary differential equations and dynamical systems, partial differential equations and calculus of variations, and their related applications.
Contributions to Nonlinear Analysis
This paper is concerned with the existence and uniform decay rates of solutions of the waveequation with a sourceterm and subject to nonlinear boundary damping ? ? u ?? u =|u| u in ? ×(0,+?) ? tt ? ? ? ? u=0 on ? ×(0,+?) 0 (1. 1) ? ? u+g(u)=0 on ? ×(0,+?) ? t 1 ? ? ? ? 0 1 u(x,0) = u (x); u (x,0) = u (x),x? ? , t n where ? is a bounded domain of R ,n? 1, with a smooth boundary ? = ? ?? . 0 1 Here, ? and ? are closed and disjoint and ? represents the unit outward normal 0 1 to ?. Problems like (1. 1), more precisely, ? u ?? u =?f (u)in? ×(0,+?) ? tt 0 ? ? ? ? u=0 on ? ×(0,+?) 0 (1. 2) ? ? u =?g(u )?f (u)on? ×(0,+?) ? t 1 1 ? ? ? ? 0 1 u(x,0) = u (x); u (x,0) = u (x),x? ? , t were widely studied in the literature, mainly when f =0,see[6,13,22]anda 1 long list of references therein. When f =0and f = 0 this kind of problem was 0 1 well studied by Lasiecka and Tataru [15] for a very general model of nonlinear functions f (s),i=0,1, but assuming that f (s)s? 0, that is, f represents, for i i i each i, an attractive force.
Plunkett's Telecommunications Industry Almanac 2008: Telecommunications Industry Market Research, Statistics, Trends & Leading Companies
A market research guide to the telecommunications industry - a tool for strategic planning, competitive intelligence, employment searches or financial research. It includes a chapter of trends, statistical tables, and an industry-specific glossary. It also provides profiles of the 500 successful companies in telecommunications.
Field Effect Electroosmosis
Electrophoresis is defined as the transport of electrically charged particles in a direct current electric field. Electrophoresis has been around for more than a century as a phenomenon in electrokinetics. Field effect electroosmosis is a novel phenomenon in electrokinetics that adds a new dimension in capillary electrophoresis. In this book, field effect electroosmosis is introduced, and a beautiful spectrum of applications of electrophoresis was presented.
Djairo G. de Figueiredo - Selected Papers
This volume presents a collection of selected papers by the prominent Brazilian mathematician Djairo G. de Figueiredo, who has made significant contributions in the area of Differential Equations and Analysis. His work has been highly influential as a challenge and inspiration to young mathematicians as well as in development of the general area of analysis in his home country of Brazil. In addition to a large body of research covering a variety of areas including geometry of Banach spaces, monotone operators, nonlinear elliptic problems and variational methods applied to differential equations, de Figueiredo is known for his many monographs and books. Among others, this book offers a sample of the work of Djairo, as he is commonly addressed, advancing the study of superlinear elliptic problems (both scalar and system cases), including questions on critical Sobolev exponents and maximum principles for non-cooperative elliptic systems in Hamiltonian form.
European Union Law
Now in its second edition, European Union Law has been fully revised and updated following the entry into force of the Lisbon Treaty in December 2009. The book contains entirely new chapters on the Protection of Human Rights in the EU; the Area of Freedom, Security and Justice and the Common Foreign and Security Policy. Specifically written to give law students detailed up-to-date knowledge of all main areas of EU law, the book provides an in-depth and detailed examination of, and commentary on the areas of institutional and of substantive EU law forming the syllabus of standard academic courses on EU law. Unlike other texts this book successfully combines authoritative text with case summar...
